化简:(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1).
人气：410 ℃ 时间：2019-10-20 00:13:28
解答
原式=(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)/(x-1)=(x^2-1)(x^2+1)(x^4+1)(x^8+1)(x^16+1)/(x-1)=(x^4-1)(x^4+1)(x^8+1)(x^16+1)/(x-1)=(x^8-1)(x^8+1)(x^16+1)/(x-1)=(x^16-1)(x^16+1)/(x-1)=(x^32-1)/(x-1)
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